Charge multiplets and masses for E(11)

Abstract

The particle, string and membrane charge multiplets are derived in detail from the decomposition of the l1 (charge) representation of E(11) in three, four, five, six, seven and eight spacetime dimensions. A tension formula relating weights of the l1 (charge) representation of E(11) to the fundamental objects of M-theory and string theory is presented. The reliability of the formula is tested by reproducing the tensions of the content of the charge multiplets. The formula reproduces the masses for the pp-wave, M2, M5 and the KK-monopole from the low level content of the l1 representation of E(11). Furthermore the tensions of all the Dp-branes of IIA and IIB theories are found in the relevant decomposition of the l1 representation, with the string coupling constant and ${\alpha }^{\prime }$ appearing with the expected powers. The formula leads to a classification of all the exotic, KK-brane charges of M-theory.

62 pages, 5 figures, plain TeX

References in corpus (14)

• U-duality and M-Theory
• $E_{11}$, SL(32) and Central Charges
• The IIA, IIB and eleven dimensional theories and their common E_{11} origin
• The Symmetry of M-Theories
• A class of Lorentzian Kac-Moody algebras
• Representations of G+++ and the role of space-time
• E_{11} origin of Brane charges and U-duality multiplets
• M-Theory and U-duality on T^d with Gauge Backgrounds
• 7-Branes and Higher Kaluza-Klein Branes
• Dual fields and E_{11}
• Brane dynamics, central charges and E_{11}
• G+++ and Brane Solutions
• Some simple predictions from E_{11} symmetry
• Connections between Kac-Moody algebras and M-theory

Cited by in corpus (37)

• Duality Invariant Actions and Generalised Geometry
• String Solitons and T-duality
• Duality Invariance: From M-theory to Double Field Theory
• E11, generalised space-time and IIA string theory
• The Geometry, Branes and Applications of Exceptional Field Theory
• Counting supersymmetric branes
• Generalised geometry, eleven dimensions and E11
• The E(11) origin of all maximal supergravities - the hierarchy of field-strengths
• A master exceptional field theory
• E${}_9$ exceptional field theory II. The complete dynamics
• E11, generalised space-time and equations of motion in four dimensions
• E11 must be a symmetry of strings and branes
• Weaving the Exotic Web
• A brief review of E theory
• Timelike U-dualities in Generalised Geometry
• Exotic E11 branes as composite gravitational solutions
• Generalised Space-time and Gauge Transformations
• Generalised space-time and duality
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• Tensor Galileons and Gravity
• Perturbation Theory From Automorphic Forms
• Exotic Branes in Exceptional Field Theory: $E_{7(7)}$ and Beyond
• E11 and exceptional field theory
• All maximal gauged supergravities with uplift
• Bound States of String Theory and Beyond
• E11, Brane Dynamics and Duality Symmetries
• Higher derivative type II string effective actions, automorphic forms and E11
• The massless irreducible representation in E theory and how bosons can appear as spinors
• Spacetime and large local transformations
• E theory in seven dimensions
• A sketch of brane dynamics in seven and eight dimension using E theory
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
• Flux Backgrounds and Exceptional Generalised Geometry
• Exotic Aspects of Extended Field Theories
• The string little algebra
• Duality rules for more mixed-symmetry potentials
• Branes and Polytopes